32 LIVE: Algebra Tools
Ma/Mi/J/V/L 3:30–4:45pm de 7/12 (hora del Este de EE. UU.)
El curso de LIVE tiene un total de 25 horas de formación de video en vivo (~18/hora), más 1 año de acceso a los videos pregrabados del curso del Prof. Loh.
Calendario
Las clases se darán en las fechas resaltadas. Haz clic en cualquier fecha para ver los temas del día.
Clave de color:
Lección de un tema nuevo
Analiza el examen asignado como tarea
Plan de estudios
Los 20 encuentros del curso se dividen en 16 lecciones (llamadas Día 1 hasta Día 16) y 4 horas para analizar los exámenes de tarea. Cada encuentro para analizar un examen es luego de 4 lecciones.
Día 1
Percentage problems; decimals; ratios; difference of squares; distributive property; patterns in squares; exponents; scientific notation; estimation; expressions with two variables; multiplying binomials; special numbers
Día 2
Interpreting word problems using algebraic expressions; number patterns; solving linear equations in two variables; integer equations; distributive property
Día 3
Functions; averages; applications of variable expressions; order of operations; distributive property; simplifying expressions; rational functions; reciprocals; inverse functions
Día 4
Sequences; algebraic methods and Fibonacci sequence; linear equations in one variable; rational expressions; functions; rational numbers and their decimal representations
Día 5
Arithmetic and geometric sequences and their sums; averages; parity; prime factorization; divisibility; negative integers; sum of powers of 2; common ratio
Día 6
Simplifying radicals and rational expressions; square roots; nested square root expressions; multiplying binomials; nonlinear equations in two variables; integer expressions; word problems; difference of squares; common denominator
Día 7
Exponents, multiplying and dividing exponents; n-th roots; derivation of definition of fractional powers; estimation; geometric sequences; common ratio; derivation of formula for geometric mean
Día 8
Repeating decimals derived from geometric sequences and fractional form of; linear equations in one variable; sum of a convergent geometric sequence
Día 9
Word problems; systems of linear equations in two variables; substitution method; rational equations; reciprocals; change of variables; averages; number line
Día 10
Linear equations in three variables; substitution method; adding and subtracting equations; symmetry
Día 11
Quadratic equations; factoring methods; multiplying binomials; distributive property; zero product rule; sum and product of the solutions of a quadratic and Viète's formulas; change of variables; reciprocals
Día 12
Derivation of Loh method of solving quadratic equations and applications to word problems; roots of an equation; ratios and proportion; area; sum and product of roots of a quadratic; golden ratio; difference of squares
Día 13
Graphing; definition of axes, origin, and coordinates; perpendicular angles and bisectors; rotation; system of linear equations with two variables; midpoints; slope-intercept form; slope of a line; x- and y- intercepts
Día 14
Graphing; intersection point of two lines; x- and y-intercepts; similar triangles; ratios; rotations of lines; systems of equations with two variables; sum of angles in a triangle; distance between a point and a line
Día 15
Right isosceles triangles; Pythagorean Thm; slope-intercept form of the equation of a line; coordinates; distance between two points; point equidistant from two other points; perpendicular bisector
Día 16
Graph of a parabola; tangent line to a curve; coordinates; slope and approximating slope; multiplying binomials; decimals; graph of the square root function; inverse functions; reflection of a curve
Co-Estrellas
KIRAN REDDY
3-time MATHCOUNTS Nationals qualifier • USAJMO qualifier since 8th grade • Tennis state champion
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ALON RAGOLER
National MATHCOUNTS competitor for Washington • Perfect score on AMC 8 • Enjoys web development, playing instruments (piano + snare drum)
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